Suppose three balls are drawn ​(with replacement) from a bag that contains 4 green balls and 5 black balls. The number of black balls is counted. What is the expected number of black balls in the​ sample? Thank you!

Q: If 3 balls are drawn at random from a bag containing 3 red and 4 blue balls what is the expected…

A: Given data:   The numbers of red balls in the bag are R=3. The numbers of blue balls in the bag are…

Q: What is the expected count for those are employed that are against capital punishment?

A: The exepected count is defined as  E = (row total × column total)/total

Q: of landing on a black space or a roulette wheel OR landing on a space greater than 11?

A: what is the probability of landing on a black space or a roulette wheel OR landing on a space…

Q: A box contains 12 items out of which 4 are defective. A person selects 6 items from the box. Find…

A: Given that there are total 12 items and among them 4 are defective.  So (12-4)=8 are good…

Q: A lot of 50 circuit boards contains 5 defective ones. Suppose 10 of these circuit boards are…

A: Let X be the number of defective circuit boards. Given that, a lot of 50 circuit boards contains 5…

Q: .Suppose that 2 fair dice are rolled and their sum is noted. What is the expected sum?

A: Note: Hi there! Thank you for posting the question. As there are several independent questions,…

Q: It is estimated that 10% of a population is left-handed (i.e., their left hand is their dominant,…

A: Given that, 10% of people are left handed. Let 25 people are selected at random from the population.

Q: What is the expected number of red balls when three balls are selected at random, with replacement,…

A: Given that the urn contains 4 red balls and 3 green balls So the total number of balls= (4+3)=7  If…

Q: What is the expected number of doubles that you can get when two dice are rolled 20 times

A: When one dice rolled, sample space: {1,2,3,4,5,6}

Q: Of the automobiles produced in a plant, 40% had a certain defect. Suppose a company purchases five…

A: Given: 40% of defective cars. i.e. p=0.4 . Number of cars company purchasesn=5

Q: It is believed that 10% of the children enrolled in the elementary schools are left-handed. Suppose…

A:

Q: What is the expected number of fixed points of a permutation of 1, 2..., n?

A: Given fixed points are 1, 2, 3,....,n. That is, there are n numbers. The probability of getting each…

Q: Suppose ten observations are selected randomly with replacement from the dataset. Using answer in…

A:

Q: An ambulance service claims that at least 65% of the calls received involve life-threatening…

A: Given information- Population proportion, p = 0.65 Sample size, n = 150 Significance level, α = 0.05…

Q: What is the probability that a randomly chosen person from this study was tall, given that they were…

A:

Q: Among n babies born in a certain city, 51% were boys. Use a goodness-of-fit test to test the…

A: It is needed to test, whether the true probability of a boy is 0.5.

Q: Assume that 40% of candidates of candidates who sit for the CFA examonation pass it the first time.…

A:

Q: Suppose a certain towing service receive requests for assistant in an average of 10 per hour. Let…

A: From the provided information, A certain towing service receive requests for assistant in an average…

Q: a) 10 men and 10 women randomly sit at a round table. Compute the expected number of men who have at…

A: Given No of men=10 No of woman=10

Q: what is the probability that when taking a sample without replacement of size 28, 12 students are…

A: HERE GIVEN, 47 students are taking the test from room cs103 located in the health science building.…

Q: An urn contains four balls numbered 1, 2, 5, and 7. If a person selects a set of two balls at…

A:

Q: A certain birth defect occurs in one in every 1000 live births, according to long-term data. The…

A: Given, n = 20000 p = 11000 = 0.001   This is the case of binomial distribution: The probability…

Q: A sample of 5 parts is drawn without replacement from a total population of 13 parts. Determine the…

A: Total Number of Population = 13 Given , The population is known to have 6 defective parts…

Q: A die is rolled 30 times. What is the expected number of times that a 5 or 6 will appear?

A: There are 6 outcomes when a die is thrown.  the probability of getting 5 = 1/6  the probability of…

Q: a. Let Y be the random variable that counts the number of sixes which occur when a die is tossed 10…

A: Here AS PER POLICY I HAVE CALCULATED FIRST MAIN QUESTION  PLZ REPOST FOR REMAINING PARTS

Q: A five person science club is chosen at random from five girls and fifteen boys. Conditioned on…

A: We make a table using the given information. Possible cases Number of boys (xi) number of cases…

Q: One manufacturer claims that only 10% of its total production is defective. 28 items are randomly…

A: Let, X=the number of defectives n=number of trial=28  p=probability of success=10%=0.10   X follows…

Q: There are 5 coins in a bag: 3 weighted coins with Pr[H]=2/7 and 2 fair coins. One is chosen at…

A: There are 5 coins out of which 3 are weighed and 2 are fair coins. The probability that the weighted…

Q: A box contains 4 white and 5 red marbles. Iwo marbles are drawn successively from the box without…

A:

Q: Suppose an urn contains 25 red balls and 15 blue balls. Consider the experiment of choosing 2 balls…

A: Given: An urn contains n1=25 red balls n2=15 blue balls

Q: A manufacturer calims that fewwer than 5% of its products are defective. In a random sample of 97…

A:

Q: A plan for an executive travelers' club has been developed by an airline on the premise that 5% of…

A: (a) Null hypothesis: The probability of the customer who qualified for membership is correct.…

Q: What is the expected number of “6’s” in 10 die rolls?

A: Binomial distribution: The binomial distribution gives the probability of number of successes out of…

Q: What is the expected number of times the outcome is greater than 1 and smaller than 6

A: Here fair die is rolled 16 time  Each trial independent  Finite number of trial  Two outcomes…

Q: 15 marbles are drawn without replacement from a jar that contains 30 red marbles, 32 white marbles,…

A:

Q: What is the expected number of heads that come up when a fair coin is flipped five times? (find the…

A: As coin is flipped 5 times, so number of trials is n=5. Now, probability of getting a head on a fair…

Q: Suppose a coin is tossed three times. Let x be a random variable whose value is 1 if the number of…

A: A coin is tossed three times.  Let X be a random variable whose value is 1 if the number of heads is…

Q: Consider an experiment in which someone flips a fair coin. If the coin lands heads-up, then a…

A: Probability quantifies the chances of happening an event. The probability values always lie in the…

Q: When a machine is improperly adjusted, it has probability 0.15 of producing a defective item. Each…

A:

Q: A box contains 8 items of which 2 are defective. A man selects 3 items at random. Find the expected…

A:

Q: When a fair coin is tossed 3 times, from the obtained sample space how many events with 3 elements…

A: Solution: Suppose a fair coin is tossed. Let H represents head and T represents tail.

Q: What is the expected number of times you would have to spin a roulette wheel to win 3 times in a row…

A: Given, A roulette wheel is spinned. So, The probability to win on any number is given here as: 138…

Q: What is the expected number of getting the sum of 3 dice rolls with 7 sides is an odd number?

A: The Expected value of getting the sum odd number for one dice is given by:…

Q: 6. For the six customers simulated above, what is the average waiting time? 7. If the random number…

A: “Since you have posted a question with multiple sub-parts, we will solve first three sub-parts for…

Q: What is the expected number of red marbles?

A: Here Given  Total No of BAG=3+4+5=12 No of Red marbles=3

Q: An experiment consists of randomly obtaining five numbers without replacement from the equiprobable…

A: Probability is the measurement of occurrence of any event.  Probability of any event is equals to…

Q: List all of the possible sample of size of 2. Compute the mean of each sample Identify the…

A: HERE AS PER GUIDELINES I HAVE CALCULATED 3 SUBPARTS here given population, {2,4,7} sample of size n…

Q: 50% of first marriages and 67% of second marriages end in divorce, so says Jennifer Baker of the…

A:

Q: 15 marbles are drawn without replacement from a jar that contains 20 red marbles, 26 white marbles,…

A: Formula : E(X) = m*n/N

Contingency Table

A contingency table can be defined as the visual representation of the relationship between two or more categorical variables that can be evaluated and registered. It is a categorical version of the scatterplot, which is used to investigate the linear relationship between two variables. A contingency table is indeed a type of frequency distribution table that displays two variables at the same time.

Binomial Distribution

Binomial is an algebraic expression of the sum or the difference of two terms. Before knowing about binomial distribution, we must know about the binomial theorem.